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math.CA2023
Exact and Efficient Representation of Totally Anti-Symmetric Functions
Ziang Chen, Jianfeng Lu
This paper concerns the long-standing question of representing (totally) anti-symmetric functions in high dimensions. We propose a new ansatz based on the composition of an odd fun…
math.CA2022
Representation Theorem for Multivariable Totally Symmetric Functions
Chongyao Chen, Ziang Chen, Jianfeng Lu
In this work, we establish a representation theorem for multivariable totally symmetric functions: a multisymmetric continuous function must be the composition of a continuous func…